Large-amplitude hydromagnetic waves in collisionless relativistic plasma - Exact solution for the fast-mode magnetoacoustic wave

Details Large-amplitude hydromagnetic waves in collisionless relativistic plasma - Exact solution for the fast-mode magnetoacoustic wave Large-amplitude hydromagnetic waves in collisionless relativistic plasma - Exact solution for the fast-mode magnetoacoustic wave

Feb 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983apj...265..457b&link_type=abstract

Astrophysical Journal, Part 1, vol 265, Feb. 1, 1983, p. 457-467.

Astronomy and Astrophysics

Astrophysics

1

Astronomical Models, Magnetoacoustic Waves, Plasma Waves, Relativistic Plasmas, Space Plasmas, Astrophysics, Collisionless Plasmas, Interstellar Magnetic Fields, Method Of Characteristics, Momentum Transfer, Plasma Compression, Propagation Modes, Shock Wave Propagation, Transverse Waves, Wave Equations, Wave Propagation

Scientific paper

An exact nonlinear solution is found to the relativistic kinetic and electrodynamic equations (in their hydromagnetic limit) that describes the large-amplitude fast-mode magnetoacoustic wave propagating normal to the magnetic field in a collisionless, previously uniform plasma. It is pointed out that a wave of this kind will be generated by transverse compression of any collisionless plasma. The solution is in essence independent of the detailed form of the particle momentum distribution functions. The solution is obtained, in part, through the method of characteristics; the wave exhibits the familiar properties of steepening and shock formation. A detailed analysis is given of the ultrarelativistic limit of this wave.

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